Superlinear (p(z), q(z))-equations

Calogero Vetro, Nikolaos S. Papageorgiou

Risultato della ricerca: Article

5 Citazioni (Scopus)

Abstract

We consider Dirichlet boundary value problems for equations involving the (p(z), q(z))-Laplacian operator in the principal part and prove the existence of one and three nontrivial weak solutions, respectively. Here, the nonlinearity in the reaction term is allowed to depend on the solution, but does not satisfy the Ambrosetti–Rabinowitz condition. The hypotheses on the reaction term ensure that the Euler–Lagrange functional, associated to the problem, satisfies both the (Cc)-condition and a mountain pass geometry.
Lingua originaleEnglish
pagine (da-a)8-25
Numero di pagine18
RivistaComplex Variables and Elliptic Equations
Volume64
Stato di pubblicazionePublished - 2019

    Fingerprint

All Science Journal Classification (ASJC) codes

  • Analysis
  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

Cita questo